{"id":"https://openalex.org/W4293266331","doi":"https://doi.org/10.56807/buj.v4i1.241","title":"Solving the Heat and Wave Equations Using the Double Aboodh-Summed Transform","display_name":"Solving the Heat and Wave Equations Using the Double Aboodh-Summed Transform","publication_year":2022,"publication_date":"2022-04-19","ids":{"openalex":"https://openalex.org/W4293266331","doi":"https://doi.org/10.56807/buj.v4i1.241"},"language":"en","primary_location":{"id":"doi:10.56807/buj.v4i1.241","doi":"https://doi.org/10.56807/buj.v4i1.241","is_oa":true,"landing_page_url":"https://doi.org/10.56807/buj.v4i1.241","pdf_url":"https://baydaauniv.net/buj/index.php/buj/article/download/241/232","source":{"id":"https://openalex.org/S4387282764","display_name":"Albaydha University Journal","issn_l":"2709-9695","issn":["2709-9695"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4388482659","host_organization_name":"Albaydha University","host_organization_lineage":["https://openalex.org/I4388482659"],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Albaydha University Journal","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://baydaauniv.net/buj/index.php/buj/article/download/241/232","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5048866826","display_name":"Ali Al-Aati","orcid":"https://orcid.org/0000-0001-5835-6286","observed_orcids":["https://orcid.org/0000-0001-5835-6286"]},"institutions":[{"id":"https://openalex.org/I4388482659","display_name":"Albaydha University","ror":"https://ror.org/0505vtn61","country_code":"YE","type":"education","lineage":["https://openalex.org/I4388482659"]}],"countries":["YE"],"is_corresponding":true,"raw_author_name":"Ali Al-Ati & Yasmin Ouideen","raw_affiliation_strings":["Department of Mathematical, Faculity of Education and Science, Albaydha University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical, Faculity of Education and Science, Albaydha University","institution_ids":["https://openalex.org/I4388482659"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5048866826"],"corresponding_institution_ids":["https://openalex.org/I4388482659"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"4","issue":"1","first_page":"173","last_page":"183"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.49559998512268066,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.49559998512268066,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12589","display_name":"Differential Equations and Boundary Problems","score":0.35740000009536743,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13806","display_name":"Mathematical and Computational Methods","score":0.08449999988079071,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/aboodh-transform","display_name":"Aboodh transform","score":0.9990000128746033},{"id":"https://openalex.org/keywords/sumudu-transform","display_name":"Sumudu transform","score":1.0},{"id":"https://openalex.org/keywords/heat-equation","display_name":"heat equation","score":0.9110000133514404},{"id":"https://openalex.org/keywords/wave-equation","display_name":"wave equation","score":1.0},{"id":"https://openalex.org/keywords/linear-partial-differential-equations","display_name":"linear partial differential equations","score":0.9160000085830688},{"id":"https://openalex.org/keywords/inverse-transform","display_name":"reverse transformation","score":0.5659999847412109}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8260498046875},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.48319733142852783},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.479672908782959},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.44392573833465576},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.43313759565353394},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39995720982551575},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.059138327836990356},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.56807/buj.v4i1.241","doi":"https://doi.org/10.56807/buj.v4i1.241","is_oa":true,"landing_page_url":"https://doi.org/10.56807/buj.v4i1.241","pdf_url":"https://baydaauniv.net/buj/index.php/buj/article/download/241/232","source":{"id":"https://openalex.org/S4387282764","display_name":"Albaydha University Journal","issn_l":"2709-9695","issn":["2709-9695"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4388482659","host_organization_name":"Albaydha University","host_organization_lineage":["https://openalex.org/I4388482659"],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Albaydha University Journal","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.56807/buj.v4i1.241","doi":"https://doi.org/10.56807/buj.v4i1.241","is_oa":true,"landing_page_url":"https://doi.org/10.56807/buj.v4i1.241","pdf_url":"https://baydaauniv.net/buj/index.php/buj/article/download/241/232","source":{"id":"https://openalex.org/S4387282764","display_name":"Albaydha University Journal","issn_l":"2709-9695","issn":["2709-9695"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4388482659","host_organization_name":"Albaydha University","host_organization_lineage":["https://openalex.org/I4388482659"],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Albaydha University Journal","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4293266331.pdf","grobid_xml":"https://content.openalex.org/works/W4293266331.grobid-xml"},"referenced_works_count":9,"referenced_works":["https://openalex.org/W1982907413","https://openalex.org/W1990616523","https://openalex.org/W2054034590","https://openalex.org/W2104426592","https://openalex.org/W2591791583","https://openalex.org/W2973555114","https://openalex.org/W3036635584","https://openalex.org/W3159266612","https://openalex.org/W3172874727"],"related_works":["https://openalex.org/W4316253585","https://openalex.org/W7212045820","https://openalex.org/W2174367849","https://openalex.org/W3159266612","https://openalex.org/W7215364354","https://openalex.org/W4410003093","https://openalex.org/W2116032234","https://openalex.org/W4308290599","https://openalex.org/W3012525796","https://openalex.org/W4316253589"],"abstract_inverted_index":{"We":[0],"combine":[1],"the":[2,16,46,52,62],"Aboodh":[3,73],"transform":[4,7,12,22,76],"and":[5,69],"Sumudu":[6,75],"to":[8,36],"give":[9],"another":[10],"double":[11,17,64],"which":[13,40],"is":[14],"called":[15],"Aboodh-Sumudu":[18,65],"trans-form.":[19],"This":[20],"interesting":[21],"reduces":[23],"a":[24],"linear":[25],"partial":[26],"differential":[27,54],"equation":[28,55],"with":[29],"unknown":[30],"function":[31],"of":[32,49],"two":[33],"independent":[34],"variables":[35],"an":[37],"algebraic":[38],"equation,":[39],"can":[41,56],"then":[42,57],"be":[43,58],"solved":[44,59],"by":[45,60],"formal":[47],"rules":[48],"algebra.":[50],"Also":[51],"original":[53],"applying":[61],"inverse":[63],"transform.":[66],"Key":[67],"words":[68],"phrases.":[70],"Double":[71],"Aboodh-Sumudu,":[72],"transform,":[74]},"counts_by_year":[],"updated_date":"2026-10-12T09:40:04.860316","created_date":"2022-08-27T00:00:00"}